It was only a friendly against a modest team but coming after the impressively ground-out away win over Italy in February, the team's fifth successive victory was another positive sign.
What pleased Klinsmann the most was the style with which Scotland were taken apart as Landon Donovan helped himself to a hat-trick.
"We saw many elements of what we have been talking about. A fast paced game, nice tempo, one-two touch combinations through midfield, finding our forwards, having pace in the build up from the back, no long balls," said Klinsmann.
"I think we saw all those elements. Obviously it is more difficult to play that way against Brazil or against Italy but I think the players understand more and more what we are trying to achieve."
Klinsmann's predecessor Bob Bradley, who took the U.S. to the second round of the 2010 World Cup in South Africa before falling to Ghana, built a team that was strong on determination and organisation but sometimes lacked the movement and flexible shape the modern game demands.
Bradley has enjoyed an excellent season with Chievo Verona in Italy's Serie A while Jones was strong in Germany and the Champions League with Schalke 04.
"Over the last season a lot of players have just made the next step in their careers, Michael Bradley, Jermaine, Fabian Johnson, a left back of the highest quality, and we have Landon back and he gives us the goals," he said.
"That's why we have taken that approach. Now the players have to just look ahead to the next game," he said.
"The players understand more and more what we are trying to achieve but this was really fun to see some of those elements that we have been working on."
